2015/01/08 by Zhen-Peng Xu, Jing-Ling Chen, Xu, Zhen-Peng +3
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1501.01746
4 pages, 2 figures; revised version
arxiv created 2015/01/09 · arxiv updated 2015/01/12
We present a generalized set of complex rays for a qutrit in terms of parameter q=ei2π/k, a k-th root of unity. Remarkably, when k=2,3, the set reduces to two well known state-independent contextuality (SIC) sets: the Yu-Oh set and the Bengtsson-Blanchfield-Cabello set. Based on the Ramanathan-Horodecki criterion and the violation of a noncontextuality inequality, we have proven that the sets with k=3m and k=4 are SIC, while the set with k=5 is not. Our generalized set of rays will theoretically enrich the study of SIC proof, and experimentally stimulate the novel application to quantum information processing.